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Finding the Fourth Proportional to 83,009, 114,552.42 and 53,201

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Solution

The fourth proportional to 83,009, 114,552.42 and 53,201 is: 73,417.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,009 : 114,552.42 = 53,201 : x
  2. Step 2: Convert to fraction form
    83,009/114,552.42 = 53,201/x
  3. Step 3: Cross multiply
    83,009x = 114,552.42 × 53,201
  4. Step 4: Simplify right side
    83,009x = 6,094,303,296.42
  5. Step 5: Solve for x
    x = 6,094,303,296.42/83,009
  6. Step 6: Final answer
    x = 73,417.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.